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Universality Reduced

Published online by Cambridge University Press:  01 January 2022

Abstract

The universality of critical phenomena is best explained by appeal to the Renormalization Group (RG). Batterman and Morrison, among others, have claimed that this explanation is irreducible. I argue that the RG account is reducible but that the higher-level explanation ought not to be eliminated. I demonstrate that the key assumption on which the explanation relies—the scale invariance of critical systems—can be explained in lower-level terms. However, we should not replace the RG explanation with a bottom-up account; rather, we should acknowledge that the explanation appeals to dependencies that may be traced down to lower levels.

Type
Physical Sciences
Copyright
Copyright © The Philosophy of Science Association

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Footnotes

I am grateful to Eleanor Knox, to two anonymous referees, and to the audiences of the IMPS 2018 and PSA 2018 conferences for helpful comments. This work as supported by the London Arts and Humanities Partnership.

References

Batterman, Robert W. 2000. “Multiple Realizability and Universality.” British Journal for the Philosophy of Science 51 (1): 115–45..CrossRefGoogle Scholar
Batterman, Robert W.. 2011. “Emergence, Singularities, and Symmetry Breaking.” Foundations of Physics 41:1031–50.CrossRefGoogle Scholar
Batterman, Robert W.. 2017. “Philosophical Implications of Kadanoff’s Work on the Renormalization Group.” Journal of Statistical Physics 167 (3–4): 559–74.CrossRefGoogle Scholar
Batterman, Robert W.. 2018. “Autonomy of Theories: An Explanatory Problem.” Noûs 52 (4): 858–73..CrossRefGoogle Scholar
Binney, J. J., Dowrick, N. J., Fisher, A. J., and Newman, M. E. J.. 1992. The Theory of Critical Phenomena: An Introduction to the Renormalization Group. Oxford: Clarendon.Google Scholar
Butterfield, Jeremy, and Bouatta, Nazim. 2012. “Emergence and Reduction Combined in Phase Transitions.” AIP Conference Proceedings 1446:383403.CrossRefGoogle Scholar
Callender, Craig, and Menon, Tarun. 2013. “Turn and Face the Strange … Ch-Ch-Changes: Philosophical Questions Raised by Phase Transitions.” In The Oxford Handbook of Philosophy of Physics, ed. Batterman, Robert W., 189223. Oxford: Oxford University Press.Google Scholar
Franklin, Alexander. 2018. “On the Renormalization Group Explanation of Universality.” Philosophy of Science 85 (2): 225–48..CrossRefGoogle Scholar
Kathmann, Shawn M. 2006. “Understanding the Chemical Physics of Nucleation.” Theoretical Chemistry Accounts 116 (1): 169–82..CrossRefGoogle Scholar
Mainwood, Paul. 2006. “Is More Different? Emergent Properties in Physics.” PhD diss., University of Oxford.Google Scholar
Morrison, Margaret. 2012. “Emergent Physics and Micro-Ontology.” Philosophy of Science 79 (1): 141–66..CrossRefGoogle Scholar
Morrison, Margaret. 2014. “Complex Systems and Renormalization Group Explanations.” Philosophy of Science 81 (5): 1144–56..CrossRefGoogle Scholar
Norton, John D. 2012. “Approximation and Idealization: Why the Difference Matters.” Philosophy of Science 79 (2): 207–32..CrossRefGoogle Scholar
Palacios, Patricia. 2019. “Phase Transitions: A Challenge for Reductionism?” Philosophy of Science, in this issue.CrossRefGoogle Scholar
Saatsi, Juha, and Reutlinger, Alexander. 2018. “Taking Reductionism to the Limit: How to Rebut the Antireductionist Argument from Infinite Limits.” Philosophy of Science 85 (3): 455–82..CrossRefGoogle Scholar
Sengers, Anneke Levelt, Hocken, Robert, and Sengers, Jan V.. 1977. “Critical-Point Universality and Fluids.” Physics Today 30 (12): 4251..CrossRefGoogle Scholar
Wilson, Kenneth G. 1975. “The Renormalization Group: Critical Phenomena and the Kondo Problem.” Reviews of Modern Physics 47 (4): 773840..CrossRefGoogle Scholar
Woodward, James. 2003. Making Things Happen: A Theory of Causal Explanation. Oxford: Oxford University Press.Google Scholar